We construct a family of exactly solvable relativistic kinetic theories in $1+1$ dimensions whose hydrodynamic sector continuously interpolates between Fick's and Cattaneo's laws of diffusion. The interpolation is controlled by a single parameter $a\in [0,1]$, which tunes the microscopic scattering dynamic…

[Phys. Rev. E 114, 034132] Published Wed Sep 16, 2026

Quantum-induced stochastic dynamics arises when a quantum system, strongly decohered by its coupling to a quantum environment, evolves as a genuine classical stochastic process. Depending on the environment's quantum state, the environment can act as a dynamic bath, capable of simultaneously exchang…

[Phys. Rev. E 114, 034130] Published Tue Sep 15, 2026

This work establishes a direct connection between semiclassical Thomas-Fermi theory and Tsallis statistics. The kinetic energy term of the Thomas-Fermi framework is shown to be associated with the Tsallis entropy $S_q$, while the particle interactions play the role of internal energy $U$, allowing the Th…

[Phys. Rev. E 114, 034124] Published Mon Sep 14, 2026

The $N$-queens problem asks for the number $Q\left(N\right)$ of ways to place $N$ mutually nonattacking queens on an $N\times N$ chessboard. Simkin [M. Simkin, Adv. Math. 427, 109127 (2023)] proved $Q\left(N\right)\sim {(N/e^{\gamma })}^N$, and subsequent work [P. Nobel, A. Agrawal, and S. Boyd, Optim. Lett. 17, 1229 (2023)] refined the constant to $\gamma =\mathrm{1\dots }$

[Phys. Rev. E 114, 034125] Published Mon Sep 14, 2026

Symmetry-breaking order at low temperatures is often accompanied by slow relaxation dynamics, due to diverging free-energy barriers arising from interfaces between different ordered states. Here we extend this correspondence to classical topological order, where the ordered states are locally indist…

[Phys. Rev. E 114, 034126] Published Mon Sep 14, 2026

At finite temperature, an attractive pair potential does not by itself define a bond between two particles. Specifically, two particles initialized near a potential minimum can remain localized over one observation window and escape over another; therefore, bonding is an observation-time-dependent l…

[Phys. Rev. E 114, 034127] Published Mon Sep 14, 2026

In this study, we investigate the charging dynamics of a multiqubit quantum battery, characterized by the SU(2) algebra and driven by a finite-dimensional SU(1,1) bosonic charger. To enable systematic exploration of the parameter space, we develop and validate a neural-network surrogate model that r…

[Phys. Rev. E 114, 034128] Published Mon Sep 14, 2026

Diffusion with multipole-moment conservation gives rise to transport laws that generalize Fick's law and has attracted growing attention following experimental advances in strongly tilted optical lattices. It was recently shown that conserving complete multipole-moment groups leads to subdiffusive d…

[Phys. Rev. E 114, 034129] Published Mon Sep 14, 2026

Microcanonical inflection-point analysis (MIPA) identifies third-order transitions from derivatives of the microcanonical entropy, yet this classification has lacked a direct canonical counterpart accessible from measurable fluctuations without reconstructing the density of states. Here we establish…

[Phys. Rev. E 114, 034118] Published Fri Sep 11, 2026

Lee-Yang theory offers a unifying framework for understanding classical phase transitions and dynamical quantum phase transitions through the analysis of partition functions and Loschmidt echoes. Recently, this framework was extended to characterize quantum phase transitions of quantum Ising models …

[Phys. Rev. E 114, 034119] Published Fri Sep 11, 2026

We investigate the fragment-size distribution produced by a hierarchical generalization of Gilbert's two-dimensional random tessellation. The study is motivated by experimental data on fragmentation processes, obtained by Kooij and coworkers [S. Kooij et al., Nat. Commun. 12, 2521 (2021)], where th…

[Phys. Rev. E 114, 034120] Published Fri Sep 11, 2026

Inspired by the phenomenologies of an open totally asymmetric simple exclusion process (TASEP) with Langmuir kinetics (Lk) and finite resources that dynamically control the entry and exit rates of the TASEP lane, we study the stationary densities and phase transitions in a TASEP with Lk connected to…

[Phys. Rev. E 114, 034121] Published Fri Sep 11, 2026

First-passage time (FPT) is an important quantity characterizing stochastic processes, but its distribution is often difficult to compute. Here we develop an efficient approach to compute the FPT distribution for a general stochastic process modeled by a master equation or a Fokker-Planck equation. …

[Phys. Rev. E 114, 034122] Published Fri Sep 11, 2026

We formulate a nonequilibrium gauge theory for active many-body steady states and derive rigorous, data-accessible lower bounds on dissipation. The setting is an overdamped translational sector on an extended one-particle state space, where internal variables may encode orientations, species, or oth…

[Phys. Rev. E 114, 034123] Published Fri Sep 11, 2026

The transition from subdiffusion to normal diffusion is ubiquitous in complex systems, with experimentally observed transition times spanning several orders of magnitude. However, a scaling law governing the transition time remains unclear. To address this issue, we introduce an analytically tractab…

[Phys. Rev. E 114, L032103] Published Fri Sep 11, 2026

We present a hydrodynamic theory of anisotropic and inversion-asymmetric moving active permeable fluid membranes. These are described by an anisotropic Kardar-Parisi-Zhang equation. Depending upon the anisotropy parameters, the membrane is either effectively isotropic and algebraically rough with tr…

[Phys. Rev. E 114, 034113] Published Thu Sep 10, 2026

In this work, we investigate the autonomous charging process of a quantum battery coupled to a structured reservoir composed of two qubits, each locally coupled to its own bosonic thermal bath. Moreover, the reservoir interacts with a charger–battery architecture through three configurations: (I) di…

[Phys. Rev. E 114, 034116] Published Thu Sep 10, 2026

The emergence of heavy-tailed statistics in complex systems is conventionally attributed to nonlocal stochastic jumps or non-Markovian memory. Here, we present a one-dimensional random walk where power-law behaviors arise instead from a strictly local, discrete-time Markovian mechanism. The step len…

[Phys. Rev. E 114, 034114] Published Wed Sep 09, 2026

The theoretical understanding of pattern formation in active systems remains a central problem of interest. Heterogeneous flocks made up of multiple species can exhibit a remarkable diversity of collective states that cannot be obtained from single-species models. In this paper, we derive a kinetic …

[Phys. Rev. E 114, 034117] Published Wed Sep 09, 2026

The authors study a model of heat conduction with a bulk driving mechanism resembling the effect of an external field. They find that they can induce the spontaneous formation of traveling energy condensates that exhibit robust long-range temporal order reminiscent of continuous time crystals.

[Phys. Rev. E 114, 034110] Published Tue Sep 08, 2026

Reaction-diffusion processes play an important role in a variety of physical, chemical, and biological systems. Conventionally, the kinetics of these processes are described by the law of mass action. However, there are various cases where these equations are insufficient. A fundamental challenge li…

[Phys. Rev. E 114, 034111] Published Tue Sep 08, 2026

We study the effects of spatially inhomogeneous diffusion on the nonequilibrium phase transition in the unidimensional contact process. The directed-percolation critical point in the contact process is known to be stable against the addition of a spatially uniform diffusion term. Correspondingly, we…

[Phys. Rev. E 114, 034112] Published Tue Sep 08, 2026

Two intermingled species of active matter can exhibit coherent rotation or disorderly scrambling depending on their mutual interactions.

[Phys. Rev. E 114, 034115] Published Tue Sep 08, 2026

We show that stochastically driven nonequilibrium conserved growth models admit generic strong coupling phases for sufficiently strong nonlocal chemical potentials underlying the dynamics. The models exhibit generic roughening transitions between perturbatively accessible weak coupling phases satisf…

[Phys. Rev. E 114, L032102] Published Tue Sep 08, 2026

Measuring transport coefficients at the microscale remains challenging, often relying on indirect methods that require modeling and calibration. This article derives universal asymptotic forms for the autocorrelation and relative uncertainty of local probe measurements in dilute diffusive systems. V…

[Phys. Rev. E 114, 034108] Published Fri Sep 04, 2026

Estimating entropy production in continuous systems that can only be observed with a limited resolution remains an open problem in stochastic thermodynamics. Existing estimators based on the measurement of waiting-time distributions either require the detection of Markovian events, which uniquely de…

[Phys. Rev. E 114, 034109] Published Fri Sep 04, 2026

One-dimensional alternating particle systems are widely used to study interconnections between the hydrodynamics of blast waves in a gas-like medium and the Newtonian dynamics of its corpuscular constituents. In this article, we study the model in which point particles with masses $m,\mu ,m,\mu ,\cdots , (m\ge \mu )$ a…

[Phys. Rev. E 114, 034105] Published Thu Sep 03, 2026

We extend the canonical Gibbs distribution, originally formulated for systems at equilibrium, to systems driven out of equilibrium. The stochastic dynamics of a small system are described by a probability distribution over discrete energy levels. Within this framework, we derive a microscopic expres…

[Phys. Rev. E 114, 034106] Published Thu Sep 03, 2026

It is an important physical property for a diffusion process to respond to an external force or a spatial confinement in experiments. This paper investigates the random diffusivity processes coupled with an inverse $\alpha$-stable subordinator which characterizes the trapping events in crowded environment,…

[Phys. Rev. E 114, 034107] Published Thu Sep 03, 2026

A state-based ergodic approach is introduced using a descriptor constructed from instantaneous, spatially resolved measurements to quantify the spatiotemporal evolution of system states in far-from-equilibrium systems. This method is demonstrated for the mixing process in confined water-glycerol flo…

[Phys. Rev. E 114, L032101] Published Thu Sep 03, 2026

We study the dynamic critical behavior of the two-dimensional random-bond three-state Potts model using large-scale Monte Carlo simulations with the Wolff and Swendsen-Wang cluster algorithms. At the disorder-dependent critical temperature, we compute integrated and exponential autocorrelation times…

[Phys. Rev. E 114, 034102] Published Wed Sep 02, 2026

We perform large-scale numerical simulations to investigate the critical behavior of $k$-core percolation in two dimensions with an extended interaction range $r$. By systematically varying both the core index $k$ and the interaction range $r$, we construct a comprehensive phase diagram in the $(k,r)$ plane. …

[Phys. Rev. E 114, 034103] Published Wed Sep 02, 2026

Standard affine jump-diffusion models treat shocks as increments to the system's state, whereas conventional stochastic resetting models reduce their impact to a full reset of the system's state. Neither model is adequate when diffusion along one of the state components persists, while shocks affect…

[Phys. Rev. E 114, 034104] Published Wed Sep 02, 2026

In this paper, we use the Feingold-Peres model, a well-known paradigm of quantum chaos, as an example. Using semiclassical analysis and numerical simulations, we investigate the statistical properties of observables in few-body systems with chaotic classical limits and the emergence of random-matrix…

[Phys. Rev. E 114, 034101] Published Tue Sep 01, 2026

We present an exact analysis of a spin-pseudospin sawtooth chain that incorporates three distinct valence states of copper ions and serves as a minimal model for one-dimensional cuprates composed of corner-sharing copper triangles. The model includes magnetic exchange and electrostatic coupling cons…

[Phys. Rev. E 114, 024154] Published Thu Aug 27, 2026

Upon breaking the integrability, the equations of generalized hydrodynamics (GHD) are supplemented by a Boltzmann collision term. Such terms are typically complicated and stem from a perturbative treatment of integrability-breaking terms in the Hamiltonian. In our work, we study a simplified version…

[Phys. Rev. E 114, 024155] Published Thu Aug 27, 2026

We consider the number of ways all the sites of a kagome lattice can be covered by nonoverlapping linear rigid rods where each rod covers three sites. We establish a two-to-one correspondence between the configurations of trimers on the kagome lattice to the covering by dimers of a related hexagonal…

[Phys. Rev. E 114, 024156] Published Thu Aug 27, 2026

The role of quantum entanglement in thermodynamical systems remains elusive. Does entanglement result in thermodynamic advantages or does it impose fundamental limitations? Here, we unambiguously quantify the amount of heat and work in a quantum system that is due to the presence of entanglement. Th…

[Phys. Rev. E 114, 024157] Published Thu Aug 27, 2026

This work presents a general thermodynamic approach to describe particle diffusion on a lattice, a model used to study transport processes in solids and on surfaces. By treating each lattice site as an open thermodynamic system, the effects of microscopic particle interactions are represented throug…

[Phys. Rev. E 114, 024152] Published Tue Aug 25, 2026

Thermodynamic uncertainty relations (TURs) impose a universal trade-off between current precision and entropy production in autonomous steady states, constraining in particular the power, efficiency, and constancy of heat engines. We demonstrate strong violations of the long-time TUR in a minimal au…

[Phys. Rev. E 114, 024153] Published Tue Aug 25, 2026

Finite-time information erasure is governed by probability transport through configuration space, not only by final logical populations. We show that a two-dimensional Brownian memory can lower fast-erasure cost by reorganizing probability currents through a transverse degree of freedom. Using physi…

[Phys. Rev. E 114, L022108] Published Tue Aug 25, 2026

In critical lattice models, distance ($r$)-dependent correlation functions contain power laws $r^{-2\mathrm{\Delta }}$ governed by scaling dimensions $\mathrm{\Delta }$ of an underlying continuum field theory. In Monte Carlo simulations and other numerical approaches, the leading dimensions can be extracted by data fitting, which can be …

[Phys. Rev. E 114, 024146] Published Mon Aug 24, 2026

We theoretically investigate how information flows when two particles interact with each other. Understanding the physical mechanisms of directional information flow is crucial for advancing information thermodynamics and stochastic computing. However, the fundamental connection between mechanical m…

[Phys. Rev. E 114, 024147] Published Mon Aug 24, 2026

Power spectral densities are often interpreted through ensemble averages and long-time asymptotics. In many experiments, however, only a single finite record is available, so spectral estimators remain broadly distributed, and the usual independence assumptions across frequencies need not hold. Here…

[Phys. Rev. E 114, 024148] Published Mon Aug 24, 2026

We investigate the angular momentum and kinetic energy of a classical charged Brownian particle in a static magnetic field within the framework of the generalized Langevin equation with Ornstein–Uhlenbeck noise. The mean kinetic energy retains its equilibrium value for all times after the external f…

[Phys. Rev. E 114, 024149] Published Mon Aug 24, 2026

We investigate non-Markovian stochastic processes with long-range temporal memory described by a generalized Langevin (Mori-Zwanzig) equation with a power-law memory kernel. Special attention is paid to the critical regime where the system parameters lie on the boundary separating stable and unstabl…

[Phys. Rev. E 114, 024150] Published Mon Aug 24, 2026

We study two-banded, non-Hermitian random matrices inspired by sparse neural networks with a circular, one-dimensional topology. We focus on two paradigmatic models, a Su-Schrieffer-Heeger (SSH) chain and a ladder model, which have both non-Hermitian directional bias and random sign disorder in the …

[Phys. Rev. E 114, 024151] Published Mon Aug 24, 2026

Thermodynamic uncertainty relations (TURs) bound current precision by entropy production, but transport of noncommuting (non-Abelian) charges lacks a single joint classical record of all current components. We derive an operational, process-level matrix TUR for this setting from the entropy producti…

[Phys. Rev. E 114, L022106] Published Mon Aug 24, 2026

Processes controlled by stochastic synthesis and degradation (SSD) are widespread in biology but their reaction kinetics are not well understood. Using methods borrowed from the theory of resetting processes, we determine the first-passage properties of a collection of independent particles that are…

[Phys. Rev. E 114, L022107] Published Mon Aug 24, 2026

We propose a model that extends the standard depinning paradigm by incorporating an aging mechanism into the local pinning force. This favors oscillations between a stuck state of large pinning and a slipping state of smaller pinning. We show that for mean field interactions between sites this mecha…

[Phys. Rev. E 114, 024140] Published Fri Aug 21, 2026

Statistical-gauge structures generated by current operators provide a symmetry-based description of forces and hyperforces in closed quantum statistical mechanics, but their status in open quantum dynamics remains largely unexplored. Here we develop a generalized statistical-gauge framework for Mark…

[Phys. Rev. E 114, 024141] Published Fri Aug 21, 2026

Quantum chaotic systems exhibit certain universal statistical properties that closely resemble predictions from random matrix theory (RMT). With respect to observables, it has recently been conjectured that, when truncated to a sufficiently narrow energy window, their statistical properties can be d…

[Phys. Rev. E 114, 024142] Published Fri Aug 21, 2026

We analyze a continuous-time random walk model with stochastic reversals of direction. There is no external potential but the reorientation mechanism generates a nonzero current from asymmetry in the forward and backward waiting-time distributions (even when they have the same mean); the system can …

[Phys. Rev. E 114, 024143] Published Fri Aug 21, 2026

Extending the quantum formulation of Deffner and Jarzynski [Phys. Rev. X 3, 041003 (2013)] to a more general setting for studying the thermodynamics of information processing including initial correlations, we generalize the second law of thermodynamics to account for information processing in such …

[Phys. Rev. E 114, 024144] Published Fri Aug 21, 2026

We investigate phase separation dynamics in a binary mixture driven by a moving cooling source from which cold thermal fronts propagate radially into the surrounding mixture. The motion of the source introduces two distinct velocity scales: $v_s$ associated with the translation of the source and $v$ rela…

[Phys. Rev. E 114, 024145] Published Fri Aug 21, 2026

The stability of periodic states under applied strain is investigated using the one-dimensional phase-field-crystal (PFC) model. We perform a linear stability analysis of periodic states within the one-mode approximation and identify a marginal zero-wave-number mode, corresponding to the global tran…

[Phys. Rev. E 114, 024139] Published Thu Aug 20, 2026

Strong-anisotropy magnetic multilayers composed of two identical ferromagnetic layers separated by a nonmagnetic spacer are modeled by the Ising model including intralayer dipolar interactions and interlayer exchange coupling (IEC), where frustration emerges from the competition between interactions…

[Phys. Rev. E 114, 024138] Published Wed Aug 19, 2026

In this work, we propose and study an extension of the Ziff-Gulari-Barshad (ZGB) model for heterogeneous catalysis that incorporates sulfur (S) alongside the reactive gaseous species CO and ${\mathrm{O}}_2$. By accounting for the formation and desorption of ${\mathrm{SO}}_2$ and COS, this model introduces reactions that alter …

[Phys. Rev. E 114, 024136] Published Tue Aug 18, 2026

We propose a noninteger-dimensional spatial model for anisotropic solids incorporating a $q$-deformed derivative operator inspired by the Tsallis nonadditive entropy framework. This generalization provides a unified and flexible analytical formalism for exploring anisotropic thermal properties. We der…

[Phys. Rev. E 114, 024137] Published Tue Aug 18, 2026

We establish a general quantum fluctuation-response inequality that bounds the difference in expectation values of an observable between two quantum states via the quantum relative entropy. For observables with bounded spectra, we further strengthen this result by exploiting the sub-Gaussian propert…

[Phys. Rev. E 114, 024132] Published Mon Aug 17, 2026

We construct families of periodic tessellations of the plane with arbitrarily high critical temperature, $T_{\mathrm{c}}$, for the classical uniform and nearest-neighbor ferromagnetic Ising model. Our approach is motivated by recently found exact bounds, which imply that large values of $T_{\mathrm{c}}$ require large values of…

[Phys. Rev. E 114, 024133] Published Mon Aug 17, 2026

We study critical dynamics and phase-ordering kinetics in active model B (AMB) and its minimal extension, active model $\mathrm{B}+$ ($\mathrm{AMB}+$), using deterministic simulations in two dimensions. At criticality $r_c=0$, both models display identical mean-field scaling despite nonequilibrium currents, with order-param…

[Phys. Rev. E 114, 024134] Published Mon Aug 17, 2026

We study the statistics of the maximum and minimum of a set of $N$ random variables whose dynamical and statistical properties fall within the scope of infinite ergodic theory. These nonstationary yet recurrent systems are described, in the long-time limit, by a non-normalizable infinite invariant den…

[Phys. Rev. E 114, 024135] Published Mon Aug 17, 2026

Geometric ideas play a role in areas such as stochastic thermodynamics, spectral graph theory, and optimal transport. In this Letter, the authors link a thermodynamic friction metric that governs dissipation in slowly driven systems with two graph-theoretic geometries, the commute-time and resistance distances.

#TechnicalAdvancement #AdvancingField

[Phys. Rev. E 114, L022105] Published Mon Aug 17, 2026

We present an effective potential that allows quantum thermal expectation values of a position-dependent observable to be estimated as a classical ensemble average of the corresponding function. We follow the approach of Feynman and Hibbs but perform the mean-field treatment of quantum fluctuations …

[Phys. Rev. E 114, 024126] Published Fri Aug 14, 2026

We provide an extended account of the recent statistical mechanical theory of gauge invariance against operator shifting in quantum many-body systems [J. Müller and M. Schmidt, Phys. Rev. E 114, L022104 (2026)]. The gauge transformation is enacted by a shifting superoperator that displaces the funda…

[Phys. Rev. E 114, 024130] Published Fri Aug 14, 2026

We address gauge invariance in the statistical mechanics of quantum many-body systems. The gauge transformation acts on the position and momentum degrees of freedom, and it is represented by a quantum shifting superoperator that maps quantum observables onto each other. The shifting superoperator is…

[Phys. Rev. E 114, L022104] Published Fri Aug 14, 2026

We study quantum spin chains solvable via hidden free fermionic structures. We review the algebras behind such models, establishing connections to the mathematical literature of the so-called “graph-Clifford” or “quasi-Clifford” algebras. We also introduce the “defining representation” for such alge…

[Phys. Rev. E 114, 024124] Published Thu Aug 13, 2026

Quantum and classical systems can consistently be coupled via nonunitary time-irreversible mechanisms. In this paper, we characterize which kind of corresponding dynamics converge in the stationary regime to a thermal hybrid state, that is, a density matrix that maximizes the hybrid arrangement entr…

[Phys. Rev. E 114, 024125] Published Thu Aug 13, 2026

Conformal symmetry is expected to be realized in many equilibrium statistical mechanical systems at criticality. Although this is certainly true in two-dimensional systems, the three-dimensional case is subtler, and only a few proofs exist, only so in very specific cases. In this work, we give two p…

[Phys. Rev. E 114, 024127] Published Thu Aug 13, 2026

We investigate thermalization in a tight-binding chain with an on-site defect subject to local dephasing noise implemented as random phase kicks. For a single linear defect of strength $\epsilon$, we obtain an exact analytical description of the system spectrum and formulate the dephasing-induced dynamics in…

[Phys. Rev. E 114, 024128] Published Thu Aug 13, 2026

Many natural systems exhibit dynamics characterized by alternating phases or recurring sets of states. Describing the fluctuations of such systems over stochastic trajectories is necessary across diverse fields, from biological motors to quantum thermal machines. In an accompanying letter, we introd…

[Phys. Rev. E 114, 024129] Published Thu Aug 13, 2026

We investigate quantum percolation in a honeycomb lattice with site dilution and random spin-orbit coupling. Using exact diagonalization combined with finite-size scaling analysis, we study the metal-insulator transition, extracting the quantum percolation threshold $p_q$, and the correlation-length ex…

[Phys. Rev. E 114, 024131] Published Thu Aug 13, 2026

The critical behavior of the equilibrium Ising model, famously governed by the Wilson-Fisher universality class (UC), is a cornerstone of statistical physics. A natural question is whether its properties are modified when the interacting spins are allowed to move. This can be explored within the fra…

[Phys. Rev. E 114, L022103] Published Thu Aug 13, 2026

Changing geometry creates its own overdamped thermodynamic anomaly. This is the geometric analog of the underdamped-overdamped anomaly known for Langevin systems in nonuniform or time-dependent temperature fields. We show this for Langevin dynamics in ${\mathbb{R}}^3$ under a time-dependent potential and a moving…

[Phys. Rev. E 114, 024118] Published Tue Aug 11, 2026

We study caging/trapping in Sokoban-type models, featuring a random walker moving through a disordered medium of obstacles and capable of pushing some obstacles blocking its path. In one-dimension, we allow the walker to push up to an arbitrary $N_{\mathrm{P}}$ number of obstacles. For $N_{\mathrm{P}}\gg 1$, we use large-deviatio…

[Phys. Rev. E 114, 024119] Published Tue Aug 11, 2026

We present a semianalytical method based on the backward master equation to find the optimal transition path time (TPT) of self-propelled run-and-tumble particles (RTPs) under stochastic resetting. The particle moves in a one-dimensional transition region $[x_A,x_B]$ with two absorbing boundaries. It re…

[Phys. Rev. E 114, 024120] Published Tue Aug 11, 2026

Random quantum states drawn from the Haar ensemble with a constraint on the energy expectation value $E_{\text{av}}=\langle \psi \left|H\right|\psi \rangle$ display eigenstate condensation: For $E_{\text{av}}$ below a critical value $E_{c-}$ or above $E_{c+}$, they develop macroscopic overlap with the ground state or anti–ground state. We use analytical calculatio…

[Phys. Rev. E 114, 024121] Published Tue Aug 11, 2026

We study numerically the enveloping $f$function of the fluctuation term in eigenstate thermalization hypothesis statement. We concentrate on the energy (or entropy) dependence of this function in two-dimensional systems. Our numerical results show that it is, in general, a monotonically increasing fun…

[Phys. Rev. E 114, 024122] Published Tue Aug 11, 2026

We introduce a generalized version of the Biswas-Chatterjee-Sen (BChS) model [S. Biswas et al., Physica A 391, 3257 (2012)] with group interactions of size $q$, extending the original pairwise interaction dynamics. Within a mean-field framework, we derive an exact expression for the critical noise $p_c(\dots$

[Phys. Rev. E 114, 024113] Published Mon Aug 10, 2026

The critical behavior of the Baxter-Wu model belongs to the universality class of the four-state Potts model. While the introduction of annealed vacancies does not alter the criticality of the four-state Potts model, the dilute Baxter-Wu model has remained the subject of several competing scenarios.…

[Phys. Rev. E 114, 024114] Published Mon Aug 10, 2026

When a gas of particles interacts with much a larger reservoir the density dynamics on large scales is typically governed by diffusion. We study this paradigmatic problem for weakly coupled integrable systems and show that this picture gets altered when transport is investigated on top of long-lived…

[Phys. Rev. E 114, 024115] Published Mon Aug 10, 2026

We numerically revisit the transfer-matrix formulation of directed polymers in random media and show that a common finite-dimensional framework organizes the canonical one-point fluctuation laws in $(1+1)$ dimensions. For a fixed realization of the bulk disorder, full-space partition functions are obt…

[Phys. Rev. E 114, 024116] Published Mon Aug 10, 2026

First-passage theory usually emphasizes when absorption occurs. Here, we instead treat where absorption occurs—the first-hitting location (FHL)—as a primary boundary observable of drift–diffusion processes. We formulate its law as the exit measure induced by the diffusion generator and recover its d…

[Phys. Rev. E 114, 024117] Published Mon Aug 10, 2026

Understanding fluctuations of observables across stochastic trajectories is essential for various fields of research, from quantum thermal machines to biological motors. We introduce a framework to analyze the statistics of counting observables in subtrajectories, dubbed stochastic excursions, of pr…

[Phys. Rev. E 114, L022102] Published Mon Aug 10, 2026

We consider the mean first-passage time (MFPT) through a target of interest for a diffusive particle of Langevin type, with the added condition that the particle is reset to its original position with some rate $r$. We study both smooth and nonsmooth, nonconvex potentials, focusing on the case where t…

[Phys. Rev. E 114, 024110] Published Fri Aug 07, 2026

Understanding information transfer among individuals is fundamental to revealing the collective dynamics of complex systems. Information transfer has been quantified using various information-theoretic tools and assigned the concept of influence. However, information-theoretic measures are inherentl…

[Phys. Rev. E 114, 024111] Published Fri Aug 07, 2026

The Fredrickson-Andersen model with hyperparameter $K=1$ is a severely constrained kinetic lattice spin system, such that any site is temporarily blocked from changing its packing state (empty or occupied) if there is one or more occupied nearest neighbors. Starting from a completely random initial co…

[Phys. Rev. E 114, 024112] Published Fri Aug 07, 2026

When the time-reversal and parity symmetries in a fluid are broken, transverse transport coefficients can arise in response to perturbations, an example being odd viscosity. We refer to these systems as odd fluids. While much progress has been made in the continuum theory of odd-viscous fluids, and …

[Phys. Rev. E 114, 024109] Published Thu Aug 06, 2026

Stochastic resetting has emerged as a powerful mechanism for driving systems into nonequilibrium stationary states with tunable properties. While most existing studies focus on global resetting, where all degrees of freedom are simultaneously reset, recent work has shown that resetting only a subset…

[Phys. Rev. E 114, 024108] Published Wed Aug 05, 2026

We study the coplanar ground-state manifold of the kagome Heisenberg antiferromagnet using a phase-space network representation, in which nodes correspond to coplanar ground states and edges represent transitions generated by weathervane loop rotations. In the coplanar manifold, each configuration c…

[Phys. Rev. E 114, 024101] Published Mon Aug 03, 2026

It has been observed in numerous experiments, simulations, and various theoretical studies that the spreading of particles can be modeled by the continuous-time random walk. We consider two widely used cases, namely Gaussian and discrete displacements, to compute the position distribution and demons…

[Phys. Rev. E 114, 024102] Published Mon Aug 03, 2026

Edge states are expected to allow for robust, nearly lossless transport along surfaces and interfaces in the presence of disorder. Here we show that this expectation can break down when localized random surface perturbation enables coupling between surface waves and bulk modes, even when it is a wea…

[Phys. Rev. E 114, 024103] Published Mon Aug 03, 2026

Nonequilibrium systems with multiple metastable states can undergo noise-induced transitions that form cycles among the metastable states. To analyze this phenomenon, the authors introduce a minimal two-dimensional stochastic model with nonreciprocal couplings that can be treated analytically.

#TechnicalAdvancement #AdvancingField

[Phys. Rev. E 114, 024104] Published Mon Aug 03, 2026

We study a Brownian particle in a harmonic trap whose stiffness switches between two values with arbitrary waiting-time statistics, leading to semi-Markovian dynamics. To restore Markovianity, we formulate the problem in an enlarged age-structured state space. Using this framework, we obtain steady-…

[Phys. Rev. E 114, 024105] Published Mon Aug 03, 2026

While $1/f$ noise is ubiquitous and has been found in various systems, its physics remains uncertain. From an analytical study of an ordinary diffusion equation, we find an additional example of the $1/f$ noise. The formula for this example, together with existing knowledge about scaling in fluid turbul…

[Phys. Rev. E 114, 024106] Published Mon Aug 03, 2026

Digitally connected societies approach a “transparent” regime where all agents can interact without geographic or social barriers—a limit realized by complete graph topologies. We construct a mean-field theory of a $q$-state Potts model with many-body interactions on this geometry, modeling agents fro…

[Phys. Rev. E 114, 024107] Published Mon Aug 03, 2026

We extend the $N$ branching Brownian motions model of population invasion to higher-order asexual reproduction. Increasing reproduction order leads to qualitative changes: Invasion fronts generically cease to exist beyond binary reproduction, and in the binary case itself, their speed becomes diffusio…

[Phys. Rev. E 114, L022101] Published Mon Aug 03, 2026

The non-Markovian Fokker-Planck equation (FPE) provides an effective description of anomalous diffusion within the classical continuous time random walk framework. However, its nonlocal memory kernel leads to strong non-Markovian behaviors, making the non-Markovian FPE difficult to solve. Convention…

[Phys. Rev. E 114, 014153] Published Fri Jul 31, 2026

We study a probabilistic cellular automaton obtained as a mixture of the additive elementary rules 60 and 102. We prove that for any finite periodic lattice and for mixing parameter $\lambda =1/2$, the system almost surely reaches the absorbing all-zero configuration in finitely many steps. In addition, Mont…

[Phys. Rev. E 114, 014154] Published Fri Jul 31, 2026